Alright, so the rate of change is the same thing as the slope, so we can find this by using the slope formula (which I took a picture of because it's super messy to type it out like this)
Now that we know the slope formula, we need to find the x values and the y values to plug into the equation. We'll say that the years are our x values and the money spent (in billions) are our y values. Now that we've set up an axis, we can create points! Our points would be (2000, 1243) and (2005, 1838)
Now we can plug our points into our equations! On the top of our equation, we'll put (1838-1243), and on the bottom we'll put (2005-2000). When we simplify that, we end up with 595/5, which simplifies to 119. Now we know that the rate of change for the credit cards was 119 billion!
They would be considered similar triangles.
Answer:
216 US dollars
Step-by-step explanation:
Let the amount he earned for babysitting be x
He spent 1/4 of x on guitar=(1/4)×x=1/4x
He gave 1/4 of x to charity= (1/4)×x=1/4x
Equation 1
Total amount left=(Total amount earned -Total amount spent)
Total amount earned=x
Total amount spent=(Spent on Guitar+Spent on Charity)=(1/4x)+(1/4x)=1/2x=0.5x
Total amount left=108 US dollars
Substituting in equation 1
108=(x-0,5x)
Solving
0.5x/0.5=108/0.5
x=216 US dollars
He started with 216 US dollars
Samantha bought 3 packets of stickers, each having 100.
-> In total, she bought 3 x 100 = 300 stickers.
If she divides all of the stickers evenly among 6 friends and herself, each person would get 300 : 7 = 42(r6) stickers, which mean there is going to be 6 stickers left over.